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conforming finite element methods for the coupled Stokes and Darcy problem

✍ Scribed by Yumei Chen; Feiteng Huang; Xiaoping Xie

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
300 KB
Volume
235
Category
Article
ISSN
0377-0427

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✦ Synopsis

This paper proposes and analyzes a numerical method for solving the coupled Stokes and Darcy problem, an interface problem between a fluid, governed by Stokes equations, and a flow in a porous medium, governed by Darcy equations. The method employs H(div) conforming finite elements for the velocity field in both Stokes and Darcy subdomains. Optimal-order error estimates are established.

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